The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  2  X X^2  X  2  X X^2  X  0  X  2  X X^2+2  X  0  X  2  X X^2  0  X X^2  2 X^2+2  2  X  X
 0  X  0 X^2+X X^2 X^2+X+2 X^2+2  X  0 X^2+X X^2+2 X+2  0 X^2+X+2 X^2  X X^2+X+2  0  0 X^2+X X+2 X^2 X^2+2  X  0 X^2+X  0 X^2+X+2 X^2  X X^2+2 X+2 X+2  2  2 X+2 X^2+2 X^2+X+2 X^2 X^2+X  2 X^2+X+2 X^2  X  2 X^2+X X^2+2 X+2  2 X^2+X+2 X^2  X  2 X^2+X X^2+2 X+2  2 X^2+X+2 X^2  X  2 X^2+X X^2+2 X+2 X^2+X  X X+2  X X^2+X  X X+2  X X^2+X+2  X X^2+X  X  X  X X+2  X X^2+X  X X+2  X  0 X^2+X+2  X X^2  X  0 X^2+X+2  2
 0  0 X^2+2  0 X^2+2 X^2  0 X^2  2  2  2  2 X^2 X^2+2 X^2 X^2+2 X^2  0 X^2+2  0  0 X^2+2  0 X^2  2  2 X^2 X^2+2 X^2 X^2+2  2  2  0  2 X^2 X^2+2 X^2+2  2  0 X^2  0  0  2  2 X^2+2 X^2+2 X^2 X^2  2  2  2  2 X^2 X^2+2 X^2 X^2+2  0  0  0  0 X^2+2 X^2 X^2+2 X^2  0 X^2  0 X^2+2  2 X^2+2  2 X^2 X^2  0 X^2+2  2 X^2  0 X^2+2  2  0 X^2  0 X^2+2 X^2 X^2 X^2 X^2  2  2 X^2+2 X^2+2
 0  0  0  2  2  0  2  2  0  2  2  0  0  0  2  2  2  2  2  0  2  0  0  0  2  0  2  2  0  0  0  2  0  0  0  0  2  2  2  2  0  2  2  0  0  2  2  0  2  0  0  2  2  0  0  2  2  0  0  2  2  0  0  2  0  0  2  2  0  0  2  2  0  0  0  0  2  2  2  2  2  2  0  0  2  2  0  0  2  2  2  2

generates a code of length 92 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+176x^89+122x^90+192x^91+160x^92+132x^93+68x^94+84x^95+28x^96+36x^97+2x^98+12x^99+8x^101+2x^112+1x^128

The gray image is a code over GF(2) with n=736, k=10 and d=356.
This code was found by Heurico 1.16 in 3.45 seconds.